College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter R - Section R.4 - Factoring Polynomials - R.4 Exercises: 50

Answer

(a) B (b) C (c) A

Work Step by Step

Check each factorization by using FOIL: A. (3 - 2x)(9 + 6x + 4$x^{2}$) = 3(9) + 3(6x) + 3(4$x^{2}$) - 2x(9) - 2x(6x) - 2x(4$x^{2}$) = 27 + 18x + 12$x^{2}$ - 18x - 12$x^{2}$ - 8$x^{3}$ = 27 - 8$x^{3}$ B. (2x - 3)(4$x^{2}$ + 6x + 9) = 2x(4$x^{2}$) + 2x(6x) + 2x(9) - 3(4$x^{2}$) - 3(6x) - 3(9) = 8$x^{3}$ + 12$x^{2}$ + 18x - 12$x^{2}$ - 18x - 27 = 8$x^{3}$ - 27 C. (2x + 3)(4$x^{2}$ - 6x + 9) = 2x(4$x^{2}$) + 2x(-6x) + 2x(9) + 3(4$x^{2}$) + 3(-6x) + 3(9) = 8$x^{3}$ - 12$x^{2}$ + 18x + 12$x^{2}$ - 18x + 27 = 8$x^{3}$ + 27
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